Question

tell whether the ratios form a proportion.

1. $\frac{2.5}{4},\frac{7}{11.2}$ 24. 2 to 4, 11 to $\frac{11}{2}$ 25. $2:\frac{4}{5},\frac{3}{4}:\frac{3}{10}$
2. pay rate you earn $56 walking your neighbors dog for 8 hours. your friend

carns $36 painting your neighbors fence for 4 hours.
a. what is your pay rate?
b. what is your friends pay rate?
c. are the pay rates equivalent? explain.

1. geometry are the heights and bases of

the two triangles proportional? explain.

1. baseball a pitcher coming back from

an injury limits the number of pitches
thrown in bull pen sessions as shown.
a. which quantities are proportional?
b. how many pitches that are not
curveballs do you think the pitcher
will throw in session 5?

1. nail polish a specific shade of red nail polish requires 7 parts red

to 2 parts yellow. a mixture contains 35 quarts of red and 8 quarts of
yellow. how can you fix the mixture to make the correct shade of red?

1. coin collection the ratio of quarters to dimes in a coin collection is $5:3$.

you add the same number of new quarters as dimes to the collection.
a. is the ratio of quarters to dimes still $5:3$?
b. if so, illustrate your answer with an example. if not, show why with
a \counterexample.\

1. age you are 13 years old, and your cousin is 19 years old. as you grow older,

is your age proportional to your cousins age? explain your reasoning.

1. ratio a is equivalent to ratio b. ratio b is equivalent to ratio c.

is ratio a equivalent to ratio c? explain.
fair game review what you learned in previous grades & lessons
add or subtract. (section 1.2 and section 1.3)

1. $-28 + 15$ 34. $-6+(-11)$ 35. $-10 - 8$ 36. $-17-(-14)$
2. multiple choice which fraction is not equivalent to $\frac{2}{6}$? (skills review handbook)

(a) $\frac{1}{3}$ (b) $\frac{12}{36}$ (c) $\frac{4}{12}$ (d) $\frac{6}{9}$

Explanation:

Step1: Simplify each fraction

Simplify \(\frac{2}{6}\) to \(\frac{1}{3}\) (divide numerator and denominator by 2).
Simplify \(\frac{12}{36}\) to \(\frac{1}{3}\) (divide numerator and denominator by 12).
Simplify \(\frac{4}{12}\) to \(\frac{1}{3}\) (divide numerator and denominator by 4).
Simplify \(\frac{6}{9}\) to \(\frac{2}{3}\) (divide numerator and denominator by 3).

Step2: Compare with \(\frac{2}{6}\) (which is \(\frac{1}{3}\))

We see that \(\frac{1}{3}\), \(\frac{12}{36}\), \(\frac{4}{12}\) are equivalent to \(\frac{2}{6}\) (since they all simplify to \(\frac{1}{3}\)), but \(\frac{6}{9}\) simplifies to \(\frac{2}{3}\) which is not equivalent.

Answer:

D. \(\frac{6}{9}\)